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Finding the Third Proportional to 211,263.75 and 437,287.50

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Solution

The third proportional to 211,263.75 and 437,287.50 is: 905,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,263.75 : 437,287.50 = 437,287.50 : x
  2. Step 2: Convert to fraction form
    211,263.75/437,287.50 = 437,287.50/x
  3. Step 3: Cross multiply
    211,263.75x = 437,287.50 × 437,287.50
  4. Step 4: Simplify right side
    211,263.75x = 191,220,357,656.25
  5. Step 5: Solve for x
    x = 191,220,357,656.25/211,263.75
  6. Step 6: Final answer
    x = 905,126.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.